(a) Give an example of a linear program in primal standard form which has a basic feasible solution but no optimum solution. Your LP should have at least two decision variables and at least one constraint other than the non-negativity constraints. b) Write down the dual of the LP in part (a). (c) Without solving it, state whether the dual in part (b) will be infeasible, feasible but without an optimum solution, or have an optimum solution. Explain your reasoning. You cannot use any argument that refers to the specific dual variables, objective function, or constraints that you obtained in part (b) (a) Give an example of a linear program in primal standard form which has a basic feasible solution but no optimum solution. Your LP should have at least two decision variables and at least one constraint other than the non-negativity constraints. b) Write down the dual of the LP in part (a). (c) Without solving it, state whether the dual in part (b) will be infeasible, feasible but without an optimum solution, or have an optimum solution. Explain your reasoning. You cannot use any argument that refers to the specific dual variables, objective function, or constraints that you obtained in part (b)